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Finding the Fourth Proportional to 29,713.16, 41,002.56 and 16,284.44

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Solution

The fourth proportional to 29,713.16, 41,002.56 and 16,284.44 is: 22,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.16 : 41,002.56 = 16,284.44 : x
  2. Step 2: Convert to fraction form
    29,713.16/41,002.56 = 16,284.44/x
  3. Step 3: Cross multiply
    29,713.16x = 41,002.56 × 16,284.44
  4. Step 4: Simplify right side
    29,713.16x = 667,703,728.17
  5. Step 5: Solve for x
    x = 667,703,728.17/29,713.16
  6. Step 6: Final answer
    x = 22,471.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.